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Finding the Fourth Proportional to 9,672.09, 13,347.23 and 5,693.45

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Solution

The fourth proportional to 9,672.09, 13,347.23 and 5,693.45 is: 7,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.09 : 13,347.23 = 5,693.45 : x
  2. Step 2: Convert to fraction form
    9,672.09/13,347.23 = 5,693.45/x
  3. Step 3: Cross multiply
    9,672.09x = 13,347.23 × 5,693.45
  4. Step 4: Simplify right side
    9,672.09x = 75,991,691.44
  5. Step 5: Solve for x
    x = 75,991,691.44/9,672.09
  6. Step 6: Final answer
    x = 7,856.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.